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  <Article>
    <Journal>
      <PublisherName>American Institute of Mathematical Sciences</PublisherName>
      <JournalTitle>Acta Medica Okayama</JournalTitle>
      <Issn>1078-0947</Issn>
      <Volume>40</Volume>
      <Issue>6</Issue>
      <PubDate PubStatus="ppublish">
        <Year>2020</Year>
        <Month/>
      </PubDate>
    </Journal>
    <ArticleTitle>Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations</ArticleTitle>
    <FirstPage LZero="delete">3981</FirstPage>
    <LastPage>3995</LastPage>
    <Language>EN</Language>
    <AuthorList>
      <Author>
        <FirstName EmptyYN="N">Masaharu</FirstName>
        <LastName>Taniguchi</LastName>
        <Affiliation> Research Institute for Interdisciplinary Science, Okayama University</Affiliation>
      </Author>
    </AuthorList>
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    <Abstract>For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems.</Abstract>
    <CoiStatement>No potential conflict of interest relevant to this article was reported.</CoiStatement>
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        <Param Name="value"> Traveling front</Param>
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        <Param Name="value"> reaction-diffusion equation</Param>
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        <Param Name="value">axisymmetric</Param>
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  </Article>
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